Abstract
A method is presented for simulating the paths traced by photons traveling through a homogenous isotropically scattering medium. An initial photon path is defined with a string of characters that represent the most direct path between a source pixel and a detection pixel. This string then is expanded systematically in unit increments using well-defined rules. In two dimensions using a hexagonal lattice, these rules assume that only six possible directions of scatter are allowed. In three dimensions using a Cartesian lattice, there also are only six directions. The method is tractable and lends itself to computational implementation. Because the method is deterministic, it is more efficient than Monte Carlo methods when investigating paths between specific source and detection pixels. When boundaries are imposed on an object, it is possible to investigate millions of photon paths of a given specified length and to determine probabilistically the pixels visited by the photons within the object.
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